Finite Group Databasebeta

← #33108342

Subgroups — #33108342

Order 18688.

1022 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988802C211yesmaximal, characteristic
2C2×#17988697C211yesmaximal, characteristic
3C2×#17988687C211yesmaximal, characteristic, complemented
4#22613000C211yesmaximal, characteristic, complemented
5#22610740C211yesmaximal, characteristic, complemented
6#22610697C211yesmaximal, characteristic, complemented
7#22610627C211yesmaximal, characteristic, complemented
8#22610620C211yesmaximal, characteristic, complemented
9#22610279C211yesmaximal, characteristic
10#22610265C211yesmaximal, characteristic, complemented
11#22610198C211yesmaximal, characteristic, complemented
12#22610177C211yesmaximal, characteristic, complemented
13#22609800C211yesmaximal, characteristic, complemented
14C4×#14556512C211yesmaximal, characteristic, complemented
15C73×#2349C211yesmaximal, characteristic, complemented
16C22×#11924016C2211yescharacteristic
17C22×#11924013C2211yescharacteristic
18C2×#14556579C2211yescharacteristic
19C2×C4×Dic146C2211yescharacteristic
20C2×C4×D292C2211yescharacteristic
21#17988802C418yescomplemented
22#17988697—24no—
23#17988687—24no—
24C2×#14556524C2211yescharacteristic
25C2×#14556522C2211yescharacteristic
26C2×C4⋊#10596831C2211yescharacteristic
27C2×#14556514C2211yescharacteristic
28C2×#14556514C2211yescharacteristic
29C2×#14556514C2211yescharacteristic
30C2×#14556512C2211yescharacteristic
31C2×#14556512C2211yescharacteristic
32C2×#14556511C2211yescharacteristic
33C2×#14556511C2211yescharacteristic
34C2×#14556511C2211yescharacteristic
35C2×#14556502C2211yescharacteristic
36C2×#14556502C2211yescharacteristic
37C2×C4×#10596831C2211yescharacteristic
38#17988493C2211yescharacteristic
39#17988489C2211yescharacteristic
40#17988477—21no—
41#17988476—21no—
42#17988458—21no—
43C4×C4⋊Dic73C2211yescharacteristic
44#17988434—21no—
45#17988349C2211yescharacteristic
46#17988349C2211yescharacteristic
47#17988349C2211yescharacteristic
48#17988349C2211yescharacteristic
49#17988342C2211yescharacteristic
50#17988342C2211yescharacteristic
51C2×C4×D4×C73C2211yescharacteristic
52C2×C4×D4×C73C2211yescharacteristic
53C2×C4×D4×C73C2211yescharacteristic
54#389×C73C2211yescharacteristic
55#389×C73C2211yescharacteristic
56#385×C73—21no—
57#385×C73—21no—
58#382×C73C2211yescharacteristic
59#380×C73—21no—
60C4×C4⋊C4×C73C2211yescharacteristic
61C2×#95×C73—21no—
62C22×Dic146C2311yescharacteristic
63C22×D292C2311yescharacteristic
64C22×C4×D73—21no—
65C2×#11924016—22no—
66C2×#11924016—22no—
67C2×#11924016C2×C414yescomplemented
68C2×#11924013—22no—
69C2×#11924013—22no—
70C2×#11924013C2×C414yes—
71C22×#10596831C2311yescharacteristic
72C22×#10596831C2311yescharacteristic
73C22×#10596831C2311yescharacteristic
74C22×#10596831C2311yescharacteristic
75#14556579—22no—
76#14556579C2×C414yescomplemented
77C4×Dic146—22no—
78C4×Dic146—41no—
79C4×D292—22no—
80C4×D292—41no—
81C2×C4⋊Dic73C2311yescharacteristic
82C2×C4⋊Dic73C2311yescharacteristic
83C2×#11924007—21no—
84C2×#11924005—21no—
85C2×#11924005—21no—
86C2×#11924005—21no—
87C2×#11924005—21no—
88C2×#11924005—21no—
89C2×C4×Dic73—21no—
90C2×C4×Dic73—21no—
91#14556524—22no—
92#14556522—22no—
93C4⋊#10596831C2×C414yescomplemented
94#14556514—22no—
95#14556514—41no—
96#14556514C2×C414yescomplemented
97#14556512—22no—
98#14556512D414yes—
99#14556511—22no—
100#14556511—41no—
101#14556511C2×C414yescomplemented
102#14556502—22no—
103#14556502—22no—
104C4×#10596831—22no—
105#14556498—21no—
106#14556498—21no—
107#14556498—21no—
108C22×D4×C73C2311yescharacteristic
109C23×C4×C73—21no—
110C23×C4×C73—21no—
111C23×C4×C73—21no—
112C4×D4×C73—22no—
113C4×D4×C73—22no—
114C4×D4×C73—22no—
115C4×D4×C73—41no—
116C4×D4×C73—41no—
117C4×D4×C73C2×C414yescomplemented
118C2×C4⋊C4×C73—21no—
119C2×C4⋊C4×C73—21no—
120C2×C4⋊C4×C73D411yescharacteristic
121C2×C4⋊C4×C73D411yescharacteristic
122C2×C4⋊C4×C73C2311yescharacteristic
123C2×C4⋊C4×C73C2311yescharacteristic
124C2×C4⋊C4×C73C2311yescharacteristic
125C2×C22⋊C4×C73—21no—
126C2×C22⋊C4×C73—21no—
127C2×C22⋊C4×C73—21no—
128C2×C42×C73C2311yescharacteristic
129C2×C42×C73C2311yescharacteristic
130C2×C42×C73C2311yescharacteristic
131#95×C73—21no—
132#95×C73—21no—
133#95×C73—21no—
134#95×C73—21no—
135#95×C73D411yescharacteristic
136#95×C73D411yescharacteristic
137C23×D73—21no—
138C2×Dic146—21no—
139C2×Dic146—21no—
140C2×Dic146—21no—
141C2×Dic146—21no—
142C2×Dic146—21no—
143C2×Dic146C22×C412yes—
144C2×D292—21no—
145C2×D292—21no—
146C2×D292—21no—
147C2×D292—21no—
148C2×D292—21no—
149C2×D292C22×C412yes—
150C22×Dic73—21no—
151C22×Dic73—21no—
152C22×Dic73—21no—
153C2×C4×D73—42no—
154C2×C4×D73—42no—
155C2×C4×D73—81no—
156#11924016—28no—
157#11924013—28no—
158C2×#10596831—21no—
159C2×#10596831—21no—
160C2×#10596831—21no—
161C2×#10596831—21no—
162C2×#10596831—21no—
163C2×#10596831—21no—
164C2×#10596831—21no—
165C2×#10596831—21no—
166C2×#10596831—21no—
167C2×#10596831C22×C412yes—
168C2×#10596831C22×C412yes—
169C2×#10596831C2×D412yes—
170C4⋊Dic73—21no—
171C4⋊Dic73—21no—
172C4⋊Dic73—21no—
173C4⋊Dic73C2×D412yes—
174#11924007—42no—
175#11924005—24no—
176#11924005—24no—
177#11924005—42no—
178#11924005—42no—
179#11924005—81no—
180C4×Dic73—42no—
181C4×Dic73—81no—
182C24×C73—21no—
183C2×D4×C73—21no—
184C2×D4×C73—21no—
185C2×D4×C73—21no—
186C2×D4×C73C22×C412yes—
187C2×D4×C73C2×D412yes—
188C2×D4×C73#4112yes—
189C22×C4×C73—21no—
190C22×C4×C73—24no—
191C22×C4×C73—21no—
192C22×C4×C73—21no—
193C22×C4×C73—42no—
194C22×C4×C73—42no—
195C22×C4×C73—42no—
196C22×C4×C73—42no—
197C22×C4×C73—81no—
198C22×C4×C73—81no—
199C22×C4×C73—81no—
200C22×C4×C73—81no—
201C22×C4×C73C2×D411yescharacteristic
202C22×C4×C73C2×D411yescharacteristic
203C22×C4×C73C2×D411yescharacteristic
204C22×C4×C73C2×D411yescharacteristic
205C22×C4×C73C2×D411yescharacteristic
206C22×C4×C73C2×D411yescharacteristic
207C22×C4×C73C2411yescharacteristic
208C4⋊C4×C73—21no—
209C4⋊C4×C73—21no—
210C4⋊C4×C73—21no—
211C4⋊C4×C73—21no—
212C4⋊C4×C73—21no—
213C4⋊C4×C73—41no—
214C4⋊C4×C73—41no—
215C4⋊C4×C73—81no—
216C4⋊C4×C73—81no—
217C4⋊C4×C73C22×C412yes—
218C22⋊C4×C73—24no—
219C22⋊C4×C73—42no—
220C22⋊C4×C73—42no—
221C42×C73—21no—
222C42×C73—21no—
223C42×C73—21no—
224C42×C73—21no—
225C42×C73C22×C412yes—
226C42×C73#4112yes—
227C23×C73—22no—
228C23×C73—22no—
229C23×C73—22no—
230C23×C73—41no—
231C23×C73—41no—
232C23×C73—41no—
233C23×C73—41no—
234C23×C73C22×D411yescharacteristic
235C22×D73—22no—
236C22×D73—41no—
237C22×D73—41no—
238C22×D73—41no—
239C22×D73—41no—
240C22×D73—41no—
241C22×D73—41no—
242D4×C73—22no—
243D4×C73—22no—
244D4×C73—22no—
245D4×C73C4×D414yes—
246C2×C4×C73—21no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—22no—
251C2×C4×C73—21no—
252C2×C4×C73—21no—
253C2×C4×C73—21no—
254C2×C4×C73—21no—
255C2×C4×C73—21no—
256C2×C4×C73—21no—
257C2×C4×C73—21no—
258C2×C4×C73—21no—
259C2×C4×C73—21no—
260C2×C4×C73—21no—
261C2×C4×C73—21no—
262C2×C4×C73—21no—
263C2×C4×C73—41no—
264C2×C4×C73—41no—
265C2×C4×C73—41no—
266C2×C4×C73—41no—
267C2×C4×C73—41no—
268C2×C4×C73—41no—
269C2×C4×C73—41no—
270C2×C4×C73—41no—
271C2×C4×C73—84no—
272C2×C4×C73—84no—
273C2×C4×C73—84no—
274C2×C4×C73C4×D412yes—
275C2×C4×C73C4×D412yes—
276C2×C4×C73C23×C411yescharacteristic
277C2×C4×C73C22×D411yescharacteristic
278C2×C4×C73C2×#4111yescharacteristic
279C2×C4×C73C2×#4111yescharacteristic
280C2×C4×C73H(5,𝔽2)11yescharacteristic
281C2×C4×C732−1+411yescharacteristic
282C2×Dic73—22no—
283C2×Dic73—22no—
284C2×Dic73—41no—
285C2×Dic73—41no—
286C2×Dic73—41no—
287C2×Dic73—41no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291D292—22no—
292D292—22no—
293D292—41no—
294D292—41no—
295C4×D73—84no—
296Dic146—22no—
297Dic146—22no—
298Dic146—41no—
299Dic146—41no—
300#10596831—22no—
301#10596831—22no—
302#10596831—22no—
303#10596831—41no—
304C22×C73—24no—
305C22×C73—42no—
306C22×C73—42no—
307C22×C73—42no—
308C22×C73—42no—
309C22×C73—42no—
310C22×C73—42no—
311C22×C73C2×C4×D411yescharacteristic
312C22×C73D4211yescharacteristic
313C22×C73#54811yescharacteristic
314C22×C73#57511yescharacteristic
315C22×C73#57511yescharacteristic
316C22×C73#57611yescharacteristic
317C22×C73#57711yescharacteristic
318C2×D73—42no—
319C2×D73—42no—
320C2×D73—42no—
321C2×D73—81no—
322C2×D73—81no—
323C2×D73—81no—
324C2×D73—81no—
325C4×C73—22no—
326C4×C73—22no—
327C4×C73—42no—
328C4×C73—41no—
329C4×C73—41no—
330C4×C73—41no—
331C4×C73—41no—
332C4×C73—81no—
333C4×C73—81no—
334C4×C73C2×C4×D411yescharacteristic
335C4×C73#52011yescharacteristic
336C4×C73#54711yescharacteristic
337C4×C73#55311yescharacteristic
338Dic73—42no—
339Dic73—42no—
340Dic73—81no—
341#23005—731nomaximal, Sylow
342C2×C73—44no—
343C2×C73#236111yescharacteristic
344C2×C73#294311yescharacteristic
345C2×C73#294611yescharacteristic
346C2×C73#327311yescharacteristic
347C2×C73#327511yescharacteristic
348C2×C73#337011yescharacteristic
349C2×C73#337611yescharacteristic
350D73—82no—
351C2×#463—731no—
352C2×#442—731no—
353C2×#440—731no—
354#2367—731no—
355#2349D7311yescharacteristic, complemented
356#1958—731no—
357#1949—731no—
358#1936—731no—
359#1935—731no—
360#1879—731no—
361#1877—731no—
362#1865—731no—
363#1862—731no—
364#1770—731no—
365C4×#102—731no—
366C73#2300511yescharacteristic, complemented, Sylow
367C22×SD16—731no—
368C22×D8—731no—
369C2×#124—731no—
370C2×C4×Q8—731no—
371C2×C4×D4—731no—
372C2×C4×D4C2×D7311yescharacteristic
373C2×C4×D4C2×D7311yescharacteristic
374C2×C4×D4C2×D7311yescharacteristic
375#463—738no—
376#442—1464no—
377#440—1464no—
378C2×#107—731no—
379C2×#106—731no—
380C2×C4⋊C8—731no—
381C2×#103—731no—
382C2×#103—731no—
383C2×#103—731no—
384C2×#102—731no—
385C2×#102—731no—
386C2×#102—731no—
387C2×#102—731no—
388C2×#102—731no—
389C2×#97—731no—
390C2×#97—731no—
391C2×C4×C8—731no—
392#391—731no—
393#390—731no—
394#389C2×D7311yescharacteristic
395#389C2×D7311yescharacteristic
396#388—1461no—
397#388—1461no—
398#385—21no—
399#385—21no—
400#385—1461no—
401#382C2×D7311yescharacteristic
402#380—21no—
403C4×C4⋊C4—731no—
404C4×C4⋊C4C2×D7311yescharacteristic
405C4×C22⋊C4—1461no—
406C2×#95—21no—
407#340—731no—
408#340—731no—
409#340—731no—
410#340—731no—
411#336—731no—
412#336—731no—
413C22×Q8—731no—
414C22×D4—731no—
415C22×D4C22×D7311yescharacteristic
416C23×C4—21no—
417C23×C4—21no—
418C23×C4—21no—
419C23×C4—1461no—
420C2×SD16—734no—
421C2×SD16—1462no—
422C2×SD16—1462no—
423C2×D8—734no—
424C2×D8—1462no—
425C2×D8—1462no—
426C22×C8—731no—
427C22×C8—731no—
428C22×C8—731no—
429C22×C8—731no—
430#124—734no—
431#124—1462no—
432C4×Q8—2921no—
433C4×Q8—1462no—
434C4×D4—22no—
435C4×D4—22no—
436C4×D4—22no—
437C4×D4—41no—
438C4×D4—41no—
439C4×D4—2921no—
440C4×D4—1462no—
441C4×D4C4×D7314yescomplemented
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—731no—
445C2×C4⋊C4—731no—
446C2×C4⋊C4—1461no—
447C2×C4⋊C4C22⋊D7311yescharacteristic
448C2×C4⋊C4C22⋊D7311yescharacteristic
449C2×C4⋊C4C22×D7311yescharacteristic
450C2×C4⋊C4C22×D7311yescharacteristic
451C2×C4⋊C4C22×D7311yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—1461no—
456C2×C22⋊C4—1461no—
457C2×C22⋊C4—1461no—
458C2×C22⋊C4—1461no—
459C2×C22⋊C4—1461no—
460C2×C42—1461no—
461C2×C42—1461no—
462C2×C42C22×D7311yescharacteristic
463C2×C42C22×D7311yescharacteristic
464C2×C42C22×D7311yescharacteristic
465#107—1462no—
466#106—1462no—
467C4⋊C8—734no—
468#103—2921no—
469#103—734no—
470#103—1462no—
471#102—2921no—
472#102—734no—
473#102—734no—
474#102—1462no—
475#102—1462no—
476#97—1462no—
477#97—1462no—
478C4×C8—1462no—
479#95—21no—
480#95—21no—
481#95—21no—
482#95—21no—
483#95—1461no—
484#95—1461no—
485#95—1461no—
486#95C22⋊D7311yescharacteristic
487#95C22⋊D7311yescharacteristic
488C24—21no—
489C24—1461no—
490C2×Q8—732no—
491C2×Q8—1461no—
492C2×Q8—1461no—
493C2×Q8—1461no—
494C2×Q8—1461no—
495C2×Q8—1461no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—732no—
500C2×D4—1461no—
501C2×D4—1461no—
502C2×D4—1461no—
503C2×D4—1461no—
504C2×D4—1461no—
505C2×D4C2×C4×D7312yes—
506C2×D4D4×D7312yes—
507C2×D4#1192402912yes—
508C22×C4—21no—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—2922no—
521C22×C4—2922no—
522C22×C4—5841no—
523C22×C4—1461no—
524C22×C4—1461no—
525C22×C4—1461no—
526C22×C4C2×C22⋊D7311yescharacteristic
527C22×C4C2×C22⋊D7311yescharacteristic
528C22×C4C2×C22⋊D7311yescharacteristic
529C22×C4C2×C22⋊D7311yescharacteristic
530C22×C4C2×C22⋊D7311yescharacteristic
531C22×C4C2×C22⋊D7311yescharacteristic
532C22×C4C23×D7311yescharacteristic
533SD16—1468no—
534D8—1468no—
535C2×C8—732no—
536C2×C8—732no—
537C2×C8—732no—
538C2×C8—1461no—
539C2×C8—1461no—
540C2×C8—1461no—
541C2×C8—1461no—
542C2×C8—1461no—
543C2×C8—1461no—
544C2×C8—1461no—
545C2×C8—1461no—
546C2×C8—1461no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—41no—
553C4⋊C4—41no—
554C4⋊C4—81no—
555C4⋊C4—81no—
556C4⋊C4—2922no—
557C4⋊C4—732no—
558C4⋊C4—1461no—
559C4⋊C4—1461no—
560C4⋊C4—1461no—
561C4⋊C4C2×C4×D7312yes—
562C22⋊C4—24no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—2922no—
566C22⋊C4—2922no—
567C22⋊C4—5841no—
568C22⋊C4—1464no—
569C22⋊C4—1464no—
570C42—21no—
571C42—21no—
572C42—21no—
573C42—21no—
574C42—2922no—
575C42—5841no—
576C42C2×C4×D7312yes—
577C42#1192402812yes—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—2921no—
586C23—2921no—
587C23—2921no—
588C23—2921no—
589C23—2921no—
590C23—2921no—
591C23—1462no—
592C23C22×C22⋊D7311yescharacteristic
593Q8—2921no—
594Q8—2921no—
595Q8—1462no—
596Q8—1462no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—2921no—
601D4—2921no—
602D4—1462no—
603D4—1462no—
604D4#1455655314yes—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—84no—
631C2×C4—84no—
632C2×C4—84no—
633C2×C4—2921no—
634C2×C4—2921no—
635C2×C4—2921no—
636C2×C4—2921no—
637C2×C4—2921no—
638C2×C4—2921no—
639C2×C4—2921no—
640C2×C4—5844no—
641C2×C4—1462no—
642C2×C4—1462no—
643C2×C4C4×C22⋊D7312yes—
644C2×C4C4×C22⋊D7312yes—
645C2×C4C22×C4×D7311yescharacteristic
646C2×C4C2×D4×D7311yescharacteristic
647C2×C4C2×#1192402811yescharacteristic
648C2×C4C2×#1192402911yescharacteristic
649C2×C4#1455663611yescharacteristic
650C2×C4#1455663911yescharacteristic
651C8—2921no—
652C8—1462no—
653C8—1462no—
654C8—1462no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—2922no—
663C22—2922no—
664C22—2922no—
665C22—5841no—
666C22—5841no—
667C22—5841no—
668C22—5841no—
669C22C2×C4×C22⋊D7311yescharacteristic
670C22D4×C22⋊D7311yescharacteristic
671C22#1798924811yescharacteristic
672C22#1798938511yescharacteristic
673C22#1798938511yescharacteristic
674C22#1798939011yescharacteristic
675C22#1798939811yescharacteristic
676C4—22no—
677C4—22no—
678C4—41no—
679C4—41no—
680C4—41no—
681C4—41no—
682C4—42no—
683C4—81no—
684C4—81no—
685C4—2922no—
686C4—2922no—
687C4—5841no—
688C4C2×#1455655311yescharacteristic
689C4#1798906811yescharacteristic
690C4#1798923811yescharacteristic
691C4#1798928511yescharacteristic
692C2—44no—
693C2—5842no—
694C2#2261294711yescharacteristic
695C2#2261872911yescharacteristic
696C2#2261876311yescharacteristic
697C2#2262153811yescharacteristic
698C2#2262155811yescharacteristic
699C2#2262268411yescharacteristic
700C2#2262275811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#2349C2
socleC23×C73C22×D4
prime radicalC22×#11924013C22
cosocleC22×C4×C73C24
hypercenter#2349D73
hypocenterC73#23005
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2349

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
3. C2×#17988687C2semidirect
4. #22613000C2semidirect
5. #22610740C2semidirect
6. #22610697C2semidirect
7. #22610627C2semidirect
8. #22610620C2semidirect
10. #22610265C2semidirect
11. #22610198C2semidirect
12. #22610177C2semidirect
13. #22609800C2semidirect
14. C4×#14556512C2semidirect
15. C73×#2349C2semidirect
21. #17988802C4semidirect
67. C2×#11924016C2×C4semidirect
76. #14556579C2×C4semidirect
93. C4⋊#10596831C2×C4semidirect
96. #14556514C2×C4semidirect
101. #14556511C2×C4semidirect
117. C4×D4×C73C2×C4semidirect
355. #2349D73semidirect
366. C73#23005semidirect
441. C4×D4C4×D73semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#179888022
C2×#179886972
C2×#179886872
#226130002
#226107402
#226106972
#226106272
#226106202
#226102792
#226102652
#226101982
#226101772
#226098002
C4×#145565122
C73×#23492
#2300573